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Finding the Fourth Proportional to 10,474.69, 14,455.12 and 5,694.68

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Solution

The fourth proportional to 10,474.69, 14,455.12 and 5,694.68 is: 7,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.69 : 14,455.12 = 5,694.68 : x
  2. Step 2: Convert to fraction form
    10,474.69/14,455.12 = 5,694.68/x
  3. Step 3: Cross multiply
    10,474.69x = 14,455.12 × 5,694.68
  4. Step 4: Simplify right side
    10,474.69x = 82,317,282.76
  5. Step 5: Solve for x
    x = 82,317,282.76/10,474.69
  6. Step 6: Final answer
    x = 7,858.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.